二元插值的一般框架(英文)

General Prames for Bivariate Interpolation

英文关键词:continued fraction  interpolation.

中文摘要:

      本文通过引进多参数建立了二元插值的一般框架.这样,许多著名的经典插值格式,如Newton插值、分叉连分式插值、对称连分式插值等均可视为本文的特殊情形．

英文摘要:

      Two classes of general bivariate interpolating frames are established by introducing multiple parameters. Many well known interpolating schemes, such as Newtoninterpolation, branched continued fraction interpolation proposed by Siemaszko and symmetric continued fraction interpolation considered by Cuyt and Murphy, can be obtainedby choosing proper parameters in our results.